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Generic Two-Phase Coexistence and Nonequilibrium Criticality in a Lattice Version of Schlogl's Second Model for Autocatalysis

TitleGeneric Two-Phase Coexistence and Nonequilibrium Criticality in a Lattice Version of Schlogl's Second Model for Autocatalysis
Publication TypeJournal Article
Year of Publication2009
AuthorsLiu DJ
Journal TitleJournal of Statistical Physics
Volume135
Pages77-85
Date Published04/01
ISBN Number0022-4715
Accession NumberISI:000265384600004
Keywordsbehavior, clusters, critical-point, desorption, generic phase coexistence, ising universality class, nonequilibrium phase transition, percolation, percolation transitions, phase-transitions, surface-reaction model, systems
Abstract

A two-dimensional atomistic realization of Schlogl's second model for autocatalysis is implemented and studied on a square lattice as a prototypical nonequilibrium model with first-order transition. The model has no explicit symmetry and its phase transition can be viewed as the nonequilibrium counterpart of liquid-vapor phase separations. We show some familiar concepts from study of equilibrium systems need to be modified. Most importantly, phase coexistence can be a generic feature of the model, occurring over a finite region of the parameter space. The first-order transition becomes continuous as a temperature-like variable increases. The associated critical behavior is studied through Monte Carlo simulations and shown to be in the two-dimensional Ising universality class. However, some common expectations regarding finite-size corrections and fractal properties of geometric clusters for equilibrium systems seems to be inapplicable.
URL<Go to ISI>://000265384600004
DOI10.1007/S10955-009-9708-2